6692640768 has 192 divisors, whose sum is σ = 21629462400. Its totient is φ = 2027888640.

The previous prime is 6692640761. The next prime is 6692640797. The reversal of 6692640768 is 8670462966.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6692640761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 602755 + ... + 613757.

It is an arithmetic number, because the mean of its divisors is an integer number (112653450).

Almost surely, 2^6692640768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6692640768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10814731200).

6692640768 is an abundant number, since it is smaller than the sum of its proper divisors (14936821632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6692640768 is a wasteful number, since it uses less digits than its factorization.

6692640768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11045 (or 11019 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 6692640768 is about 81808.5617035283. The cubic root of 6692640768 is about 1884.5131467641.

The spelling of 6692640768 in words is "six billion, six hundred ninety-two million, six hundred forty thousand, seven hundred sixty-eight".